Abstract
This research investigates uncertain crane motor system unstructured, structured, and linear parameter varying uncertainty modeling, control, and optimization frameworks. The proposed approaches effectively address the uncertain or time-varying plant components that typically exhibit significant variations under normal physical operational conditions with external influence, implying a complex stabilization and performance synthesis problem with a need for sophisticated quantitative frameworks, suitable for real-time implementations, as compared to traditional proportional-integral-derivative controller implementations. The crane system motor inductor component uncertainty is modeled analytically for the proposed three frameworks by using the uncertain state-space approach and the corresponding Multi-Input Multi-Output Linear Fractional Transformation modeling is used to formulate robust optimization problems for superior tracking performances under operational disturbances. The uncertain crane controller synthesis numerical results clearly indicate the effectiveness of the proposed modeling and optimization frameworks on desired tower crane stability and performance levels.
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References
Yoshida Y, Tabata H (2008) Visual feedback control of an overhead crane and its combination with time-optimal control. In: ASNE international conference on advanced intelligent mechatronics, Xi’an, China, 2–5 July 2008
Occupational Safety and Health Administration (OSHA) Census Crane and Hoist Safety. https://www.osha.gov/archive/oshinfo/priorities/crane.html. News release 17 September 2015
Lee H, Cho S (2001) A new fuzzy-logic anti-swing control for industrial three-dimensional overhead crane. In: International conference on robotics & automation, Seoul, Korea, 21–22 May 2001
Zhang X, Li C, Yi J (2013) Prior information driven design of fuzzy logic controller with application to the overhead crane. In: 10th international conference on fuzzy systems and knowledge discovery (FSKD), Shenyang, China, 23–25 July 2013
Xiao Y, Weiyao L (2012) Optimal composite nonlinear feedback control for a gantry crane system. In: 31st Chinese Control Conference, Heife, China, 25–27 July 2012
Arnold E, Sawodny O, Hilderbrandt A, Schneider K (2003) Anty-Sway system for boom cranes based on an optimal control approach. In: American Control Conference Denver, Colorado, 4–6 June 2003
Fang Y, Ma B, Wang P, Zhang X (2012) A motion planning-based adaptive control system. IEEE Trans Control Syst Technol 20:241–248
Sun N, Fang Y, Chen H, He B (2015) Adaptive nonlinear crane control with load hoisting/lowering and unknown parameters. IEEE ASME Trans Mechatron 20:2107–2119
Mohd Tumari M, Saealal M, Ghazali M, Wahab Y (2012) \(\text{H}{\infty }\) controller with graphical LMI region profile for gantry crane system. In: Conference on soft computing and intelligent systems, and 13th international symposium on advanced intelligent systems (SCIS–ISIS), Kobe, Japan, 20–22 November 2012
Khalifa F, Serry S, Ismail MM, Elhady B (2009) Effect of temperature rise on the performance of induction motor. In: International conference on computer engineering & systems (ICCES), Cairo, Egypt, 14–16 December 2009
Arab N, Wang W, Isfahani AH, Fahimi B (2014) Temperature effect on steady state performance of an induction machine and switched reluctance machine. In: IEEE Transportation Electrification and Expo Conference (ITEC), Dearborn, MI, USA, 15–18 June 2014
Brezina L, Brezina T (2011) H-Infinity controller design for a DC motor model with uncertainty parameters. Eng Mech 18(5/6):271–279
Sanchez – Pena R, Sznaier M (1998) Robust systems theory and applications. Wiley-Interscience, Hoboken, p 414
Doyle J, Packard A, Zhou K (1991) Review of LFTs, LMIs and \(\mu \). In: Proceedings of the 30th Conference on Decision and Control, Brighton, England, 11–13 December 1991
Doyle J (1985) Structured uncertainty in control system design. In: 24th IEEE conference on decision and control, Ft. Lauderdale, FL, 11–13 December 1985
Apkarian P, Gahinet P (1995) A convex characterization of gain-scheduling \(\text{ H }_{{{\infty }}}\) controllers. IEEE Trans Autom Control 40:853–864
Balas J, Packard A, Seiler P, Hjartarson A (2015) A toolbox for modeling, analysis, and synthesis of parameter varying control systems. MUSYN Inc. www.musyn.com
Khamari D, Makouf A, Drid S (2011) Control of induction motor using polytopic LPV models. In: International conference on communications, computing and control applications (CCCA), Hammamet, Tunisia, 3–5 March 2011
Apkarian P, Gahinet P, Becker G (1997) Self-scheduled \(\text{ H }_{{{\infty }}}\) control of linear parameter-varying systems. In: IEEE American Control Conference, Albuquerque, NM, USA, 6 June 1997
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Ngabesong, R., Yilmaz, M. Parametric and linear parameter varying modeling and optimization of uncertain crane systems. Int. J. Dynam. Control 7, 430–438 (2019). https://doi.org/10.1007/s40435-018-0466-3
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DOI: https://doi.org/10.1007/s40435-018-0466-3